Let f(x)=x. the graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 units up.

what is the equation for g(x) ?

Step-by-step explanation:

The given function is f(x)=x.

If we stretch vertically by a factor of 4 and a translation of 4 units up then the new function becomes

But f(x)=x

We substitute to obtain the equation of g(x) as

the answer is c

hope this !

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places